7.82 is what percent of 9.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 9.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 9.2, so we can write it down as 100%=9.2.
4. We know, that x% equals 7.82 of the output value, so we can write it down as x%=7.82.
5. Now we have two simple equations:
1) 100%=9.2
2) x%=7.82
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=9.2/7.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.82 is what percent of 9.2

100%/x%=9.2/7.82
(100/x)*x=(9.2/7.82)*x       - we multiply both sides of the equation by x
100=1.1764705882353*x       - we divide both sides of the equation by (1.1764705882353) to get x
100/1.1764705882353=x
85=x
x=85

now we have:
7.82 is 85% of 9.2